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Finding the Fourth Proportional to 14,653.02, 21,964.86 and 7,262.88

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Solution

The fourth proportional to 14,653.02, 21,964.86 and 7,262.88 is: 10,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.02 : 21,964.86 = 7,262.88 : x
  2. Step 2: Convert to fraction form
    14,653.02/21,964.86 = 7,262.88/x
  3. Step 3: Cross multiply
    14,653.02x = 21,964.86 × 7,262.88
  4. Step 4: Simplify right side
    14,653.02x = 159,528,142.40
  5. Step 5: Solve for x
    x = 159,528,142.40/14,653.02
  6. Step 6: Final answer
    x = 10,887.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.